94.01: Starting from rest, object 1 falls freey :* mc*,us( bmi9izuz45dcl ily for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Coczii4(u5y*sc, mm bl 9 idz:u*mpared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly acceleratesvg9,ysj n,dl 3 to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car traveln3, ydl9,gvsj during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It lands jmqva p1wou e*sg;s8+7:pfofs +(+p c6.0 s later with a velocity of 40 m/s. What was the initial velocity of the ballfeog8a*sw f 7:ppv c +psujms( +oq+;1?

  95.27: A rocket near the surface of thekkpq0yll :ro,.9 e gk bl94lb3h,r)d o earth is accelerating vertically upward at kqg9 l.okhrerd0,9, p)3 kbyl:l l4o b$10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found to be moving downwards at 27 m/s at onej+ixpbhs+ d qbj78v(6 instant. If it continues to fall, one second later the object would be moving with a downward velocity close (dsxvj+ 7ibj86hbp+q st to:

  95.39: A car starts from rest a3fv-xg8u z vt .:ezmd, 4+8ithkwji)ge5g8 ennd accelerates at $0.80\;m/s^2$ for 10 s. It then continues at constant velocity. Twenty seconds (20 s) after it began to move, the car has:

  96.17: A ball which ish/.3wezxbf0,bsef :un kxab /g.v 2t5 dropped from the top of a building strikes the ground with a speed of 30 m/s. Assume air ree30swu5 2xbf:f bv.ae.b ng h//kxz ,tsistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object xbaxrm sywl5j213:v0it)z 0lvq2vt5in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one se00vxlvjs v1)w5lr2 3q :5 mtx2iy tzbacond later?

  98.14: How long mustz9 *ot,u1 aiwi a $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is found to be moving downward at 18 h vku(z;:hzc xytd:kxi151mepn.1. c m/s. If it continues to fall, two seconds later the objectkxhd :h1ctz. :1c5 yz;v1x(ukipn em. would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4+(e.m iux2x+ jkfg o.m.00 s until reaching the ground. What was the height abei(f+ xu.2mx+mk o.g jove the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so; :nm; *psh.cbhwum/w that it rises to a maximum height of 12.0 m above the lbh*;.mnwp; msh/cw u:aunch point. Ignore air resistance. When the ball reaches its maximum height, which one of the following choices best represents the magnitude of the net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is laugqh h6u-./qensq :. .fe; rbwwnched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the ball to reach the maximum height from its :r .f./.es w h-e;buhqqg6wqn launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s twovy (jpchm ;uh 5 ota6wqe0(++y seconds au;op ymh y5aehw+t((q 0cv+j6fter it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speed of 15b7os p:h)c6kx m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s lat 6sh:kob)cp7 xer. Assume g is $10 \; m/s^2$. How far below the top of the tower does coin I pass coin II?

  02.04: If a ball is thrown directly upwards with twice the initial speed v8vsch+ z* ,zjsybt 52i3bv2y of anot52hzs8v2 vtvbc y3*jzy, + sbiher, how much higher will it be at its apex?

  02.30: A box falls to the gri:ju ghrm+ u(+ound from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come to resm j:rhi+guu+( t?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the surface ovhsex0h6 cpf0sjs1,0 f thehj0x,ep1v hcsf6s0s0 earth. After two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) aremlo im cb rqu.-t+5s5gpy)x;7 thrown vertically upward with different velocities (1v, 2+souy;tmrxbgl 57m -5pi)cq. v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched sxo(oxo;ad*s*: ot ; xq 9sorr1traight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height *o*soxr(ro 9x 1d :otao ;;qsxH above the launch point. If object 2 has mass 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball boupjk2,;29drfis slt;wnces on the ground as shown. After each bounce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first and second bounce was 1 second, what would be the time between the second and third bi;fw 2lpt2jds;9,r ks ounce?

  16.21: At 1.94 s after launch, a pro0i lvrq( bn)r7 /so9sijectile in free fall achieved its minimum speed during flighs(ors)rvqn 0i7i/ b l9t. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertic.wb jlju3 .po7al cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore a juo.lw.j7 pb3ir resistance.

  06.03: Three students were arguing about the height ofkt no;b rwn 1s43ltke/ uof4716*esvl3up5xa a parking garage. One student suggested that to determine the height of the garage, they simply had to drop tennis balls from the top376taskr/1e no*lv 43wus fbk1nopl4u e ;5xt and time the fall of the tennis balls. If the time for the ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Itsp kg0k9t6f)1cudldu 3:tjv z0 initial position is x0 = -5 meters and it is moving away from the origin and slowing downu00 :kg3l1pdc dvj6t9tf u)kz. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downward t. 9nnss6n1lws by gravity (down the plane of the page) but is constrained to exactly follow each of the frictionl n6.tnsw9sn1 less pathways shown. Rank these three paths from shortest to longest in terms of the amount of time (T) necessary for the object to be released from rest at point A and travel to point B. Assume that in changing direction that there is no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from the tonr6;:q4g pt7k bu7 wm, fyez1tp of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignorie17, u7m6:nwz4;rtgp bkq ytf ng air resistance,

  06.18: A cart is initially moving at 0.5 m/s alon 9ccae7 lj9)uwa ;zcl7g a track. The cart comes to rest aftew97ulz7; 9e jac)ac lcr traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially moving ab uekveb qbz):9stm6-- 34ey-eh ekc1t 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The qee9t-v mz 6e3h-bk ey:ue4-k cbb)s1experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from r tot2wogp b873est and runs in a straight line with a constant acceleration of3o g t2obwp7t8 2$.5\;m/s^2$. How much time does it take for the dog to run a distance of $10\;m$?

  10.29: A ball initially at rest falls without air resistar7o 9:juwz f+nnce from a height h above the ground. If the ball falls the first distance 0.5h in a jo9+fr7zn uw: time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move an/8veopfn xyvi(:eduucq-7s 9/tl w 41 d uniformly accelerate to the right. At time t=0,the objects are at the same ini-e c7 vvuwpy19n/oueid4t ql ( f8:/sxtial position. Object 1 has initial speed twice that of Object 2; Object 1 has one-half the acceleration of Object 2. After some time T, the velocity of the two objects is the same. What is the ratio of the distance traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/s fg *j/cbejdo7o-eer4mp ( *u 4krom a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best represe4*mjc eu*(e/ doejb-4p 7grkonts the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free faldwx7;ep :r :oal until it returns to7:edxora ;:w p its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Throughz o;1w8tvmr 0b how many meters does the object fall during the 8mz10bvw to r;first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a timeqr6s *z8.jizv of 12.0 s. What w.rsz *q6z8v ijas the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly acceleratzv;uw5 8+cpwles to a speed of 7.60 m/s in a time of 3; zpl5c8 uwwv+.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves* w tkxd /vao65l/2yvr to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the carv/wl xayv6t k/5o 2d*r during this time is 10.0 cm to the left of where it started. Which one of the following choices best represents the magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five seconds, vl9ecqh1-xd later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this time is 10.0 cm to the left of where it stadxh9 -1,vclq erted. Which one of the following choices best represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves wi 0wu k/(w;dwlsk7ph2 fth constant acceleration starting with velocity $v_0 = 5.00\;m/s$ and ending with a velocity of $v = -1.00\;m/s$ in a time of 3.00 s. For this motion, what is the average speed associated with the object?

  15.05: An object initially is moving upward while in free fall. Whei 5u,yr3lm 3fich one of the following choices best represents the direction of the object’s acceleration during its u mir,3e5l3y fflight?

  13.26: An object moving only to the right completes a 20.0 second eer91 k(lhdrk(;bi l4trip in two stages, I and II. The average speed of the entire trip is 10.0 m/s. For stage I, the object moves with a constan ek;br91ie4(rkdl(h lt velocity of 6.0 m/s for 12.0 seconds. What constant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a j:uy0 mdd 6a5xo: s7xny8 pzwipg./(s20.0 second trip with an average speed of 10.0 m/s in two stages. During stage 1, the object moves with a constant velocity of 6.0 m/s : u6a .gpsdyj(0w: 5oyx7nd8px zs/ imto the right for 12.0 seconds. What constant magnitude acceleration directed to the left must the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a v (h7y. *cqkelz0hhga aa/w)zfv+ 3m:small rock is dropped from rest. A ball is launched straight downward with an initial speed of 36 m/s at a time 2.10 s after the rock was dropped. When the ball has falleh).qh f(z7va3*a wh gkz/e my+c0al:vn 28.0 m further than the initially dropped rock, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-drivil4581 :skxgvq;i wd x+*khx ctng car races with a robot. The robot accelerates at i4+w *h8s x:gx;klkqvx t15cd $8.50\;m/s^2$ until reaching its maximum constant speed of 15.0 m/s. The car accelerates at $5.60\;m/s^2$ until reaching its maximum constant speed of 25.0 m/s. The car and robot start from rest from the same location. What is the maximum distance that the robot leads the car during the race?

  17.44: A ball is launched vertically upward. The vertical xsmo:(2ojfsx1ce aexv2 66e* position of the ball 0.70 s after release is the same as i( 6ef *sxvme:sjx2o 16e2 oacxts vertical position 4.10 s after its release. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?